Question

Refer to the two-variable chi square study shown below. The entries in the table represent observed frequencies.

men women
prefer coke 8 2
prefer pepsi 4 6

In this example, the sum of the expected frequencies for those who prefer coke is equal to:
a. the sum of expected frequencies for those who prefer pepsi.
b. the sum of the observed frequencies for those who prefer pepsi.
c. n/2
d. all of the above.

Answer 1

	Men	Women	Total
Prefer Coke	8	2	10
Prefer Pepsi	4	6	10
Total	12	8	20
Expected Frequencies
	Men	Women	Total
Prefer Coke	12 * 10 / 20 = 6	8 * 10 / 20 = 4	10
Prefer Pepsi	12 * 10 / 20 = 6	8 * 10 / 20 = 4	10
Total	12	8	20

sum of the expected frequencies for those who prefer coke = 10

sum of expected frequencies for those who prefer pepsi = 10

sum of the observed frequencies for those who prefer pepsi = 10

n/2 = 10

Answer: d. all of the above